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For the circuit shown in figureure, find...

For the circuit shown in figureure, find the instaneous current through each element.
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Text Solution

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The three current equations are
`V=i_(R) R,V=L(di_L)/(dt)`
and `V=q/Cimplies (dV)/(dt)=1/Ci_C`
The steady state solutions of Eq.( i) are
`i_R=V_0/R sin omega t=(i_0)_Rsin omega t`
`i_L=-V_0/(omegaL) cosomegat-=V_0/X_L cosoemgat-=(i_0)_Lcosomegat`
and `i_C=V_0omegaCcosomegat-=V_0/X_Ccosomegat-=(i_0)_Ccosomegat`
where the reactances `X_L` and `X_C` are as defined.
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